What is the Greatest Common Factor of 6816 and 6829?

Greatest common factor (GCF) of 6816 and 6829 is 1.

GCF(6816,6829) = 1

We will now calculate the prime factors of 6816 and 6829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6816 and 6829.

How to find the GCF of 6816 and 6829?

We will first find the prime factorization of 6816 and 6829. After we will calculate the factors of 6816 and 6829 and find the biggest common factor number .

Step-1: Prime Factorization of 6816

Prime factors of 6816 are 2, 3, 71. Prime factorization of 6816 in exponential form is:

6816 = 2⁵ × 3¹ × 71¹

Step-2: Prime Factorization of 6829

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 6829¹

Step-3: Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408

Step-4: Factors of 6829

List of positive integer factors of 6829 that divides 6816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6816 and 6829. The biggest common factor number is the GCF number.
So the greatest common factor 6816 and 6829 is 1.

Also check out the Least Common Multiple of 6816 and 6829